Solving one step equations addition and subtraction answer key

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Video transcript

Now that we're comfortable with the "why" of why we do something to both sides of an equation, let's see if we can apply it to some equations to solve for an unknown variable. So let's say that you have x plus seven is equal to ten, and I want to solve for x. All its saying is something plus seven is equal to ten, and you might be able to figure that out in your head, but if you want to do it a little bit more systematically, you're like well just all I want on the left hand side is an x. Well if all I want on the left hand side is an x I'd want to get rid of the seven. I want to subtract seven from the left-hand side, but if I want to maintain an equality here, whatever I do to the left-hand side I also have to do to the right-hand side going back to our scales that's so that we can keep our scale balanced, so that we can say that the left is still equal to the right. And so what we're going to be left with is x and then the sevens cancel out is equal to ten minus seven is equal to three. So that unknown is three, and you can verify it, three plus seven is indeed equal to ten. Let's try one more. Let's say we have a minus five is equal to negative two. So this is a little bit more interesting since we have all of these negative numbers here, but we can use the exact same logic. We just want an a over here on the left-hand side so we have to get rid of this negative five somehow. Well the best way of getting rid of a negative 5 is to add five to it. So I'll do that. So I will add five to the left-hand side. But if I want the left-hand side to stay equal to the right-hand side, whatever I do to the left I have to do the right. So I'm going to have to add five on the right-hand side as well, and so on the left-hand side I'm left with a, and then the negative five and the positive five cancel out and on the right hand side, and they're going to stay equal because I did the same thing to both sides, we have negative two plus five which is equal to three. So a is equal to three. Once again you can verify it. Three minus five is indeed equal to negative two.

Equip your practice session with this mixture of one-step equations worksheets involving addition and subtraction. The contents featured here are solving one-step equations involving addition and subtraction with integers, decimals and fractions.

These worksheets cater to the students of grade 6, grade 7 and grade 8.

CCSS: 6.EE

Addition & Subtraction

Solve simple equations involving addition and subtraction

The simplest equations can be solved with just one operation. To solve for the variable, students use either addition or subtraction with these problems.

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One-step equation worksheets have exclusive pages to solve the equations involving fractions, integers, and decimals. Students of grade 6, grade 7, and grade 8 are required to perform the addition and subtraction operation to solve the equations in just one-step. There are some free pdfs too!

Select the Type of Equations:

One-Step | Addition & Subtraction

One-Step | Multiplication & Division

One-Step Equation | Mixed Operations

Integers: Level 1

In these printable worksheets, solve each one-step equation using addition and subtraction operations. In 'Level 1', all the integers and variables given are positive.

Integers: Level 2

In 'Level 2', both positive and negative values of integers are used in each equation. Each worksheet has 10 problems for practice.

Fractions: Level 1

In these pdf worksheets, a variety of one-step equations which involve addition and subtraction of fractions are here for children. 'Level 1' contains equations with proper and improper fractions.

Fractions: Level 2

In level 2, one-step equations have mixed numbers as their coefficients. Convert the mixed numbers to fractions and solve the equations for a complete practice.

Decimals: Addition and Subtraction

This section involves addition and subtraction operation to solve each one-step equation. Decimal numbers are the only terms used in these worksheets.

One-Step Equations: Integers, Fractions and Decimals

Each printable worksheet has ten equations which involve addition and subtraction operation. A combination of integers, fractions and decimals are used in these equations to provide practice for 6th grade, 7th grade, and 8th grade students.